sum

Calculate the summation over one or more user-defined extents of a vector x. Depending on the number of extents, the result of the function is a vector or a scalar.

Usage

sum(x, us, os, n)

sum(x, uv, ov)

sum(x, rv)

sum(x, rm)

x

the data vector

us, os, n

Every pair {us+d*i, us+d*(i+1)} (with: d=(os-us)/n, i=0..n-1) defines an index extent to sum. All three arguments are scalars.

uv, ov

Every pair {uv[i], ov[i]} (with: i=0..nrow(uv)-1) defines an index extent to sum. Both arguments must be vectors with same length.

rv

Every pair {rv[i], rv[i+1]} (with: i=0..nrow(rv)-2) defines an index extent to sum. The argument must be vector.

rm

Every pair {rm[i,0], rm[i,1]} (with: i=0..nrow(rm)-1) defines an index extent to sum. The argument must be matrix with 2 columns.

Result

The result r is a scalar or a vector. Each element r_i is the sum of the x values over the i-th index extent.

See also

wsum, hist, avr

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